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Nonlinear waves have been observed in synchrotrons for years but have received little attention in the literature. While pathological, these phenomena are worth studying on at least two accounts. First, the formation of solitary waves may…

Accelerator Physics · Physics 2007-05-23 P. L. Colestock , L. K. Spentzouris , S. I. Tzenov

We present the first experimental investigation of modulational instability in a layered Kerr medium. The particularly interesting and appealing feature of our configuration, consisting of alternating glass-air layers, is the…

Pattern Formation and Solitons · Physics 2009-11-11 Martin Centurion , Mason A. Porter , Ye Pu , P. G. Kevrekidis , D. J. Frantzeskakis , Demetri Psaltis

A low intensity light beam emerges from a graded-index, highly multimode optical fibre with a speckled shape, while at higher intensity the Kerr nonlinearity may induce a spontaneous spatial self-cleaning of the beam [1,2]. Here, we reveal…

We study the higher order harmonics of scalar modulational instability in the regime where it arises spontaneously through amplification of vacuum fluctuations. We obtain detailed predictions concerning the detunings, intensities, growth…

Optics · Physics 2007-05-23 David Amans , Edouard Brainis , Serge Massar

We introduce a simple and flexible method to generate spatially non-Markovian light with tunable coherence properties in one and two dimensions. The unusual behavior of this light is demonstrated experimentally by probing the far field and…

We examine the modulational and parametric instabilities arising in a non-autonomous, discrete nonlinear Schr{\"o}dinger equation setting. The principal motivation for our study stems from the dynamics of Bose-Einstein condensates trapped…

Soft Condensed Matter · Physics 2015-06-24 Z. Rapti , P. G. Kevrekidis , A. Smerzi , A. R. Bishop

Small particles transported by a fluid medium do not necessarily have to follow the flow. We show that for a wide class of time-periodic incompressible flows inertial particles have a tendency to spontaneously align in one-dimensional…

Fluid Dynamics · Physics 2015-05-28 Dmitri Pushkin , Denis Melnikov , Valentina Shevtsova

The nonlinear stage of modulational instability in optical fibers induced by a wide and easily accessible class of localized perturbations is studied using the nonlinear Schrodinger equation. It is showed that the development of associated…

Pattern Formation and Solitons · Physics 2018-11-14 Matteo Conforti , Sitai Li , Gino Biondini , Stefano Trillo

Space-time (ST) wave packets are coherent pulsed beams that propagate diffraction-free and dispersion-free by virtue of tight correlations introduced between their spatial and temporal spectral degrees of freedom. Less is known of the…

We study, theoretically and numerically, the onset and development of modulational instability in an incoherently pumped spatially homogeneous polariton condensate. Within the framework of mean-field theory, we identify regimes of…

Mesoscale and Nanoscale Physics · Physics 2015-04-09 T. C. H. Liew , O. A. Egorov , M. Matuszewski , O. Kyriienko , X. Ma , E. A. Ostrovskaya

In this Letter we report observations of optically induced self-organization of colloidal arrays in the presence of un-patterned counter-propagating evanescent waves. The colloidal arrays formed along the laser propagation-axis are shown to…

Optics · Physics 2009-11-13 P. J. Reece , E. M. Wright , K. Dholakia

A multi-stream instability is observed experimentally in a longitudinally expanding electron beam in a storage ring. The instability is observed when the beam expands such that its length is several times the circumference of the ring, and…

Plasma Physics · Physics 2019-05-22 B. L. Beaudoin , R. A. Kishek , I. Haber , T. W. Koeth , T. M. Antonsen

We study theoretically and experimentally the modulational instability of broad optical beams in photorefractive nonlinear media. We demonstrate the impact of the anisotropy of the nonlinearity on the growth rate of periodic perturbations.…

Optics · Physics 2011-07-19 M. Saffman , Glen McCarthy , Wieslaw Królikowski

We present an investigation of the modulational instability of partially coherent signals in electrical transmission lines. Starting from the modified Ginzburg-Landau equations and the Wigner-Moyal representation, we derive a nonlinear…

Optics · Physics 2007-05-23 M. Marklund , P. K. Shukla

Nature is intrinsically heterogeneous, and remarkable phenomena can only be observed in the presence of intrinsically nonlinear heterogeneities. Spontaneous pattern formation in nature has fascinated humankind for centuries, and the…

Pattern Formation and Solitons · Physics 2025-03-24 Juan F. Marín , Rafael Riveros Ávila , Saliya Coulibaly , Majid Taki , Mónica A. García-Ñustes

Coherent backscattering is a coherence effect in the propagation of waves through disordered media involving two or more scattering events. Here, we report on the observation of coherent backscattering from individual atoms and their mirror…

Nonlinear radio waves modulate the plasma, scatter on the modulations, and develop an intermittent power spectrum -- perhaps. Rudiments of theory, numerical simulations, and qualitative modeling of nonlinear scattering are presented.…

High Energy Astrophysical Phenomena · Physics 2020-02-10 Andrei Gruzinov

We investigate the modulational instability of plane waves in quadratic nonlinear materials with linear and nonlinear quasi-phase-matching gratings. Exact Floquet calculations, confirmed by numerical simulations, show that the periodicity…

Pattern Formation and Solitons · Physics 2009-11-07 J. F. Corney , Ole Bang

The quasi-coherent effects in two-dimensional incompressible turbulence are analyzed starting from the test particle trajectories. They can acquire coherent aspects when the stochastic potential has slow time variation and the motion is not…

Plasma Physics · Physics 2017-04-05 M. Vlad , F. Spineanu

The development of parametric instabilities in a large scale inhomogeneous plasma with an incident laser beam composed of multiple-frequency components is studied theoretically and numerically. Firstly, theoretical analyses of the coupling…

Plasma Physics · Physics 2019-10-23 Yao Zhao , Suming Weng , Zhengming Sheng , Jianqiang Zhu